x根号x-y根号y/x-y÷x+根号xy+y/根号x+根号y
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(x根号x-y根号y)/(x-y)÷(x+根号xy+y)/(根号x+根号y)
=(x根号x-y根号y)/(x-y)*(根号x+根号y)/(x+根号xy+y)
=(x根号x-y根号y)(根号x+根号y)/[(x-y)(x+根号xy+y)
=(x²+x根号xy-y根号xy-y)/(x²-xy+x根号xy-y根号xy+xy-y²)
=(x²+x根号xy-y根号xy-y)/(x²+x根号xy-y根号xy-y²)
=1
=(x根号x-y根号y)/(x-y)*(根号x+根号y)/(x+根号xy+y)
=(x根号x-y根号y)(根号x+根号y)/[(x-y)(x+根号xy+y)
=(x²+x根号xy-y根号xy-y)/(x²-xy+x根号xy-y根号xy+xy-y²)
=(x²+x根号xy-y根号xy-y)/(x²+x根号xy-y根号xy-y²)
=1
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